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arXiv · 2601.05079

Full counting statistics in the sine-Gordon model

Botond C. Nagy·Márton Kormos·Gábor Takács
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Abstract

Full counting statistics (FCS) is a dynamical generalisation of the free energy, encapsulating detailed information about the distribution and large-scale correlation functions of conserved charges and their associated currents. In this work, we present a comprehensive numerical study of the FCS and the cumulants of the three lowest charges across the full parameter space of the sine-Gordon field theory. To this end, we extend the thermodynamic Bethe Ansatz (TBA) formulation of the FCS to the sine-Gordon model, emphasise the methodological subtleties for a reliable numerical implementation, and compare numerical results with analytical predictions in certain limits.

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Botond C. Nagy, Márton Kormos, Gábor Takács. 2026-01-08. Full counting statistics in the sine-Gordon model. https://arxiv.org/abs/2601.05079

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